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Finding the Fourth Proportional to 1,279.80, 1,919.80 and 549.40

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Solution

The fourth proportional to 1,279.80, 1,919.80 and 549.40 is: 824.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.80 : 1,919.80 = 549.40 : x
  2. Step 2: Convert to fraction form
    1,279.80/1,919.80 = 549.40/x
  3. Step 3: Cross multiply
    1,279.80x = 1,919.80 × 549.40
  4. Step 4: Simplify right side
    1,279.80x = 1,054,738.12
  5. Step 5: Solve for x
    x = 1,054,738.12/1,279.80
  6. Step 6: Final answer
    x = 824.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.